Contributions to the Steffensen integral double inequality
Year: 2025
Type: article
Abstract: In this article, we contribute to the understanding and development of the Steffensen integral double inequality. First, we show how some of its extensions can themselves be extended by a well-configured version of the classical Steffensen integral double inequality. We also establish variants of the Steffensen integral right inequality involving three or more functions. Finally, we introduce new generalized versions of this right inequality by exploiting the monotonicity and convexity assumptions of an intermediate function. Several numerical examples are given to illustrate the theoretical results.
Author: Christophe Chesneau
Institution: Université de Caen Normandie
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,390
OpenAlex ID: W4414490297